Finding the Third Proportional to 1,369.97 and 2,146.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,369.97 : 2,146.78 = 2,146.78 : x
2. Step 2: Convert to fraction form
   1,369.97/2,146.78 = 2,146.78/x
3. Step 3: Cross multiply
   1,369.97x = 2,146.78 × 2,146.78
4. Step 4: Simplify right side
   1,369.97x = 4,608,669.74
5. Step 5: Solve for x
   x = 4,608,669.74/1,369.97
6. Step 6: Final answer
   x = 3,364.07